Question

Solve the following inequation and represent the solution set on the number line

Answer 1

Answer:

$x\in$

Step-by-step explanation:

$-\frac{8}{3}$

Separate the inequalities.

$\frac{x+1}{3}>-\frac{8}{3};\frac{x+1}{3}$

Multiply by the denominator (3) on both sides.

$3\times\frac{x+1}{3}>-\frac{8}{3}\times 3= x+1>-8$

Subtract 1 from both sides.

$x+1(-1)>-8(-1)\\\\x>-9$

Repeat aforementioned steps for the second inequality.

$3\times\frac{x+1}{3}10(-1)\\\\x$